Higher Toda brackets and the Adams spectral sequence in triangulated categories
type: Item
instance of: scholarly article
title: Higher Toda brackets and the Adams spectral sequence in triangulated categories
zbMATH Open document ID: 1421.55015
author: J. Daniel Christensen
author: Martin Frankland
published in: Algebraic \& Geometric Topology
publication date: 2017-10-16T00:00:00Z
full work available at URL: https://arxiv.org/abs/1510.09216
Mathematics Subject Classification ID: 55T15
Mathematics Subject Classification ID: 18E30
zbMATH DE Number: 6791380
zbMATH Keywords: triangulated category
zbMATH Keywords: Adams spectral sequence
zbMATH Keywords: Toda bracket
zbMATH Keywords: cohomology operation
zbMATH Keywords: differential
zbMATH Keywords: higher order operation
zbMATH Keywords: projective class
MaRDI profile type: Publication
OpenAlex ID: W1904234460
arXiv ID: 1510.09216
cites work: On the non-existence of elements of Hopf invariant one
cites work: Higher order derived functors and the Adams spectral sequence
cites work: Secondary derived functors and the Adams spectral sequence
cites work: Dualization of the Hopf algebra of secondary cohomology operations and the Adams spectral sequence
cites work: Realizability of modules over Tate cohomology
cites work: Ghosts in modular representation theory.
cites work: Ideals in triangulated categories: Phantoms, ghosts and skeleta
cites work: The decomposition of stable homotopy
cites work: Homology and fibrations I: Coalgebras, cotensor product and its derived functors
cites work: Q4716283
cites work: Stable homotopy categories
cites work: Axiomatic stable homotopy theory
cites work: Morava 𝐾-theories and localisation
cites work: Towers and pyramids. I
cites work: Uniqueness of Massey Products on the Stable Homotopy of Spheres
cites work: Q4867806
cites work: Q3345437
cites work: Q5334833
cites work: Cohomology Operations of the N th Kind
cites work: Triangulated categories
cites work: On the algebraic classification of module spectra
cites work: Q3747338
cites work: Universal Toda brackets of ring spectra
cites work: Stable model categories are categories of modules
cites work: An Algebraic Model for Rational S1-Equivariant Stable Homotopy Theory
cites work: HZ -algebra spectra are differential graded algebras
cites work: Higher Order Operations
cites work: Compositional Methods in Homotopy Groups of Spheres. (AM-49)
DOI: 10.2140/AGT.2017.17.2687
description: scientific article